The Elements of Euclid : viz. the first six books, together with the eleventh and twelfth : the errors, by which Theon, or others, have long ago vitiated these books, are corrected, and some of Euclid's demonstrations are restored : also, the book of Euclid's Data, in like manner corrected (1806)
Euclid, Simson, Robert, 1687-1768, Euclid. Elements. Book 11-12. English. 1806, Euclid. Data. English. 1806, Simson, Robert, 1687-1768. Notes, critical and geometrical. 1806, Simson, Robert, 1687-1768. Elements of plane and spherical trigonometry. 1806 · Philadelphia : Published by Mathew Cary, and sold by J. Conrad & Co., S.F. Bradford, Birch & Small, and Samuel Etheridge, printed by T. & G. Palmer ... · leaf 101
PROP. XXXVL THEOR. IF from any point without a circle two straightlines be drawn, one of which cuts the circle, and theOther touches it; the rectangle contained by the wholeUne which cuts the circle, and the part of it withoutthe circle, shall be equal to the square of the li.n^which touches it. OF… … c 47. J. Let D be any point without the circle ABC, and I>CA, DB Book III.two straight lines drawn from it, of which DCA cuts the circle, Vi^^—^and DB touches the same : the rectangle AD, DC is equal to thesquare of DB. Either DCA passes through the centre, or it does not; first,let it pass…
Euclid's Elements · Mathematics, Greek · Geometry
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